Final answer:
The horizontal velocity of the projectile is 24 m/s.
Step-by-step explanation:
Projectile motion can be analyzed independently in the horizontal and vertical directions. In this case, the projectile is launched at ground level and at t = 2.00s, it is displaced 48m horizontally and 52m vertically above the launch point. To find the horizontal velocity, we can divide the horizontal displacement by the time taken: horizontal velocity = horizontal displacement/time taken = 48m/2.00s = 24m/s.